A Machine-Oriented Logic Based on the Resolution Principle
Journal of the ACM (JACM)
Perception-Based Granularity Levels in Concept Representation
ISMIS '00 Proceedings of the 12th International Symposium on Foundations of Intelligent Systems
Formalizing the abstraction process in model-based diagnosis
SARA'07 Proceedings of the 7th International conference on Abstraction, reformulation, and approximation
Abstraction and complexity measures
SARA'07 Proceedings of the 7th International conference on Abstraction, reformulation, and approximation
Multistrategy Operators for Relational Learning and Their Cooperation
Fundamenta Informaticae
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An abstraction mapping over clausal form theories in first-order predicate calculus is presented that involves the renaming of predicate symbols. This renaming is not 1-1, in the sense that several predicate symbols Ri,..., Rn from the original theory are all replaced by a single symbol R in the abstract theory. In order to preserve consistency, however, the clauses that distinguish the Ri's must be discarded in the abstract theory. This leads to a simple semantics; the union of the extensions of each of the Ri's in any model of the original theory forms the extension of R in a model of the abstract theory.